System of equations - practice for 12 year olds - page 4 of 12
Number of problems found: 238
- The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm and it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kg weighs a full and how much empty barrel? - Guess a fraction
Tom was asked to guess a fraction. The sum of 1/2 of the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in the simplest f - Crown coins
Jana saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns? - Every day 7 pages
Anelka reads the book seven pages every day. When she reads one more page a day, she will read it three days earlier. How long will Adelka read a book? How much does a book of pages have? - Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold? - Three-digit 4882
There were 301 postage stamps in the desk drawer. They were stamps for 2, 3, and 5 crowns. The number of each species can be written as a three-digit number. The total price of all stamps is CZK 1,003. How many stamps were there? - Five-crowns 4879
Eva had seven coins. Crowns, two-crowns, and five-crowns. At least two of each. How many did she have if she could buy three packs of gum for six crowns? - Equations 4781
Determine the smaller root of the root pair of the system of equations. 5a + 4b = 11 3a - 2b = 11 - Rectangle
Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width. - Grandfather 4754
Grandma had apples. When she gave seven to her grandfather, they both had the same. When Grandpa gave five apples to Grandma, she had three more than Grandpa. How many apples did each initially have? - Construction 4727
Honza had 19 wheels in the kit. He used them all in the construction of tricycles and scooters. How many complete scooters and how many tricycles? He will find all the solutions. - Determine 4649
Determine five solutions to the equation of two unknowns. Write as arranged pairs and draw in the graph. What does a diagram of a linear equation look like? 2x + 3y = 7 - Together 4596
Pavel has half as much savings as Standa but the same savings as Radek. Standa saved CZK 120 less than Radek. What savings do all three boys have together? A) less than CZK 600 B) CZK 600 C) CZK 960 D) 1200 CZK E) another number of crowns - The farmer
The farmer brought potatoes to the market. In the first hour, he sold two-fifths of the potatoes brought in. He sold five-sixths of the remaining potatoes in the second hour, and in the third hour, he sold the last 40 kg of potatoes. 1. Express a fraction - Two sisters
Two sisters together have 54 CDs. 6/8 CDs have a younger sister and are equal to 3/5 of CDs older sisters. How many CDs has each of the sisters? - Perimeter 4497
The width of the rectangle is 65% of the length. Calculate the lengths of the sides of a rectangle if its perimeter is 132dm. - Celebration 4461
Anička has 50 CZK, Anežka has 46 CZK, and they want to use all the money to buy desserts for a family celebration. They decide between cakes and pinwheels. A pinwheel is CZK 4 more expensive than a cake, and for all the money, you could buy a third more c - Subjects
The student makes a mathematical task for five minutes and the task from biology in twelve minutes. On another day, he has homework in math and biology, which consists of eleven tasks together. To do the job took an hour and a half. How many tasks are mad - Family
Son is 3/5 smaller than the mother. Mother is 99 cm higher than the son. How tall is the mother? - Kilometers 4391
The car moved out of place at a speed of 60 km / h in 1.5 hours. The second car moved at a speed of 80 km / h. How long will it take to catch the first car, and how many kilometers will it drive?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.